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Finding the Fourth Proportional to 2,004.23, 3,004.93 and 770.60

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Solution

The fourth proportional to 2,004.23, 3,004.93 and 770.60 is: 1,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.23 : 3,004.93 = 770.60 : x
  2. Step 2: Convert to fraction form
    2,004.23/3,004.93 = 770.60/x
  3. Step 3: Cross multiply
    2,004.23x = 3,004.93 × 770.60
  4. Step 4: Simplify right side
    2,004.23x = 2,315,599.06
  5. Step 5: Solve for x
    x = 2,315,599.06/2,004.23
  6. Step 6: Final answer
    x = 1,155.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.